how to find the optimal solution of two circles

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Let us have the following problem with the parameter $a\in [-3,1]$: $$\min x $$ $$(x-1)^{2}+(y-1)^{2}\le 1$$ $$(x-1)^{2}+(y+a)^{2}\le 1.$$ How to find the optimal solution? It should be the left intersection of the circles....

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Can you see now how to use your equations to solve for x?